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Finding the Fourth Proportional to 46,846.52, 64,674.92 and 30,977

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Solution

The fourth proportional to 46,846.52, 64,674.92 and 30,977 is: 42,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,846.52 : 64,674.92 = 30,977 : x
  2. Step 2: Convert to fraction form
    46,846.52/64,674.92 = 30,977/x
  3. Step 3: Cross multiply
    46,846.52x = 64,674.92 × 30,977
  4. Step 4: Simplify right side
    46,846.52x = 2,003,434,996.84
  5. Step 5: Solve for x
    x = 2,003,434,996.84/46,846.52
  6. Step 6: Final answer
    x = 42,765.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.